Chapter Five Test Review

Calculus

Name______

Directions: Multiple Choice. Choose the BEST answer. (section 5-4)

1. Match the graph shown with the correct function.

a. f(x) = ex + 1 b. f(x) = e(x-1)

c. f(x) = e-x + 1 d. f(x) = e-(x-1)

e. None of these

2. Match the graph shown with the correct function.

a. f(x) = ex + 1 b. f(x) = e(x-1)

c. f(x) = e-x + 1 d. f(x) = e-(x-1)

e. None of these

Directions: Solve for “x”. If using decimals, round to the thousandth. (section 5-4)

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Directions: Find the derivative. (section 5-4)

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Directions: Find the integral. (section 5-4)

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Directions: Solve for “x”. If using decimals round to the thousandth. (section 5-5)

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Directions: Find the derivative. (section 5-5)

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Directions: Find the integral. (section 5-5)

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Directions: Solve using the formulas for compound interest. Round answers to hundred

(section 5-5)

25. If the annual rate of inflation averages 6% over the next 10 years, the

approximate cost C of goods or services during any year in that decade is:

C(t) = P(1.06)t. The price of an oil change for your car is presently at $23.25.

Estimate the price 9 years from now.

26. A lake is stocked with 500 fish, and their population increases according to the

logistic curve: where t is measured in months. At what rate is the

fish population changing at the end of 13 months?


Directions: Evaluate without a calculator. (section 5-6)

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Directions: Solve for “x”. If using decimals, round to the thousandth. (section 5-6)

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Directions: Find the derivative. (section 5-6)

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Directions: Find the integral. (section 5-7)

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Chapter Five Review – Answer Key

Calculus

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